Clocks: Planet M Mirror Image

XAT 2016 · Quantitative Ability & Data Interpretation · Hard · Quantitative Ability

Each day on Planet M is 10 hours, each hour 60 minutes and each minute 40 seconds. The inhabitants of Planet M use 10 hour analog clock with an hour hand, a minute hand and a second hand. If one such clock shows 3 hours 42 minutes and 20 seconds in a mirror what will be the time in Planet M exactly after 5 minutes?

  1. A.

    6 hours 18 minutes 20 seconds

  2. B.

    6 hours 22 minutes 20 seconds

  3. C.

    6 hours 23 minutes 20 seconds

  4. D.

    7 hours 17 minutes 20 seconds

  5. E.

    7 hours 23 minutes 20 seconds

Answer

B

Explanation

Total duration per day = 10 hours (0 to 10). Mirror image time = 3h 42m 20s. To find actual time, subtract from 10 hours = 9h 59m 40s: 9h 59m 40s−3h 42m 20s=6h 17m 20s9\text{h } 59\text{m } 40\text{s} - 3\text{h } 42\text{m } 20\text{s} = 6\text{h } 17\text{m } 20\text{s} Adding 5 minutes = 6h 22m 20s.

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